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Finding the Third Proportional to 907,839 and 1,365,673.50

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Solution

The third proportional to 907,839 and 1,365,673.50 is: 2,054,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,839 : 1,365,673.50 = 1,365,673.50 : x
  2. Step 2: Convert to fraction form
    907,839/1,365,673.50 = 1,365,673.50/x
  3. Step 3: Cross multiply
    907,839x = 1,365,673.50 × 1,365,673.50
  4. Step 4: Simplify right side
    907,839x = 1,865,064,108,602.25
  5. Step 5: Solve for x
    x = 1,865,064,108,602.25/907,839
  6. Step 6: Final answer
    x = 2,054,399.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.